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2141100240 = 243567133153
BaseRepresentation
bin111111110011110…
…1001100011010000
312112012212011100220
41333213221203100
513341110201430
6552243113040
7104026023516
oct17747514320
95465764326
102141100240
119a9660334
124b9072780
1328177b426
141645084b6
15c7e85110
hex7f9e98d0

2141100240 has 80 divisors (see below), whose sum is σ = 6736527168. Its totient is φ = 562434048.

The previous prime is 2141100229. The next prime is 2141100251. The reversal of 2141100240 is 420011412.

2141100240 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2141100229) and next prime (2141100251).

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50497 + ... + 82656.

Almost surely, 22141100240 is an apocalyptic number.

2141100240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2141100240 is an abundant number, since it is smaller than the sum of its proper divisors (4595426928).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2141100240 is a wasteful number, since it uses less digits than its factorization.

2141100240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133236 (or 133230 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 2141100240 is about 46272.0243775869. The cubic root of 2141100240 is about 1288.8795511060.

Adding to 2141100240 its reverse (420011412), we get a palindrome (2561111652).

The spelling of 2141100240 in words is "two billion, one hundred forty-one million, one hundred thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 67 80 120 134 201 240 268 335 402 536 670 804 1005 1072 1340 1608 2010 2680 3216 4020 5360 8040 16080 133153 266306 399459 532612 665765 798918 1065224 1331530 1597836 1997295 2130448 2663060 3195672 3994590 5326120 6391344 7989180 8921251 10652240 15978360 17842502 26763753 31956720 35685004 44606255 53527506 71370008 89212510 107055012 133818765 142740016 178425020 214110024 267637530 356850040 428220048 535275060 713700080 1070550120 2141100240